The formal Laplace-Borel transform of Fliess operators and the composition product by Yaqin Li, W. Steven Gray

“…This gives a compact interpretation of the operational calculus of Fliess for computing the output response of an analytic nonlinear system.…”
Get full text

Development of Fault Identification System for Electric Servo Actuators of Multilink Manipulators Using Logic-Dynamic Approach by V. Filaretov, A. Zuev, A. Zhirabok, A. Protsenko

“…These actuators are described by nonlinear equations with significantly changing coefficients. …”
Get full text

Evaluation of Provincial Economic Resilience in China Based on the TOPSIS-XGBoost-SHAP Model by Zhan Wu

“…The aim of this research is to propose a framework for measuring and analysing China’s economic resilience based on the XGBoost machine learning algorithm, using Bayesian optimization (BO) algorithm, extreme gradient-boosting (XGBoost) algorithm, and TOPSIS method to measure China’s economic resilience from 2007 to 2021. The nonlinear effects of its key drivers are also analysed in conjunction with the SHAP explainable model to explore the path of China’s economic resilience enhancement. …”
Get full text

Parameter Estimation on a Stochastic SIR Model with Media Coverage by Changguo Li, Yongzhen Pei, Meixia Zhu, Yue Deng

“…Media coverage reduces the transmission rate from infective to susceptible individuals and is reflected by suitable nonlinear functions in mathematical modeling of the disease. …”
Get full text

Symbolic dynamics, entropy and complexity of the feigenbaum map at the accumulation point by Werner Ebelings, Katja Rateitschak

Get full text

CHAOS CONTROL OF PLANETARY GEAR TRAINBASED ON STRATEGY OF SPEED DISTURBANCE by WANG Juan, LI TongJie, JIN GuangHu, BAO HeYun

“…Strategy of Speed disturbance is used to stabilize an unstable periodic orbits which embedded in the chaotic attractor of chaos in nonlinear torsional vibration model of a planetary gear set. …”
Get full text

Meshing Contact Dynamics Analysis of Food Conveyor Chain based on ADAMS by Fan Yayun, Shi Xiudong, Gu Ronghua, Wang Mengping

“…In the view of meshing impact during the operation of food conveyor chain drive,based on Hertz contact theory,the amplitude and expression of the impact force of the driving sprocket are given by building the nonlinear spring damping dynamics model of meshing impact. …”
Get full text

Limit Cycles of a Class of Perturbed Differential Systems via the First-Order Averaging Method by Amor Menaceur, Salah Mahmoud Boulaaras, Amar Makhlouf, Karthikeyan Rajagobal, Mohamed Abdalla

Get full text

Tomography of longitudinal phase space linearization for the generation of attosecond electron bunches by B. H. Schaap, P. Musumeci

“…Here, we report on a tomographic measurement of the (pre)linearized longitudinal phase space of a low charge 3 MeV electron bunch generated with the 1.6 cell Pegasus photoinjector for the generation of attosecond bunches. The nonlinear correlations in the longitudinal phase space induced by space charge at the photocathode, radiofrequency field curvature of the gun, and vacuum dispersion are compensated using a compact X-band linearizer. …”
Get full text

Related Fixed Point Theorems via General Approach of Simulations Functions by Kastriot Zoto, Nabil Mlaiki, Hassen Aydi

Get full text

Hydrodynamic scaling limit of continuum solid-on-solid model by Anamaria Savu

“…A fourth-order nonlinear evolution equation is derived from a microscopic model for surface diffusion, namely, the continuum solid-on-solid model. …”
Get full text

Nonoscillation theorems for functional differential equations of arbitrary order by John R. Graef, Myron K. Grammatikopoulos, Yuichi Kitamura, Takasi Kusano, Hiroshi Onose, Paul W. Spikes

“…The authors give sufficient conditions for all oscillatory solutions of a sublinear forced higher order nonlinear functional differential equation to converge to zero. …”
Get full text

On a general convergence for Broyden like update method by Rabindranath Sen, Rini Chattopadhyay, Tripti Saha

“…The role of Broyden's method as a powerful quasi-Newton method for solving unconstrained optimization problems or a system of nonlinear algebraic equations is well known. We offer here a general convergence criterion for a method akin to Broyden's method in Rn. …”
Get full text

Optimal Parametric Iteration Method for Solving Multispecies Lotka-Volterra Equations by Vasile Marinca, Nicolae Herişanu

“…This new approach, which can be easily applied to other strongly nonlinear problems, is very effective and yields very accurate results.…”
Get full text

Implementation of a damage model in a finite element program for computation of structures under dynamic loading by Nasserdine Oudni, Youcef Bouafia

“…This work is a numerical simulation of nonlinear problems of the damage process and fracture of quasi-brittle materials especially concrete. …”
Get full text

The Local and Global Existence of Solutions for a Generalized Camassa-Holm Equation by Nan Li, Shaoyong Lai, Shuang Li, Meng Wu

“…A nonlinear generalization of the Camassa-Holm equation is investigated. …”
Get full text

Least-Squares Based and Gradient Based Iterative Parameter Estimation Algorithms for a Class of Linear-in-Parameters Multiple-Input Single-Output Output Error Systems by Cheng Wang, Tao Tang, Dewang Chen

“…By using the iterative search, a least-squares based iterative algorithm and a gradient based iterative algorithm are proposed. A nonlinear example is used to verify the effectiveness of the algorithms, and the simulation results show that the least-squares based iterative algorithm can produce more accurate parameter estimates than the gradient based iterative algorithm.…”
Get full text

Complexity in Linear Systems: A Chaotic Linear Operator on the Space of Odd 2π-Periodic Functions by Tamás Kalmár-Nagy, Márton Kiss

“…Not just nonlinear systems but infinite-dimensional linear systems can exhibit complex behavior. …”
Get full text

Response of porous SMA: a micromechanical study by V. Sepe, S. Marfia, F. Auricchio

“…The mechanical response of the heterogeneous porous medium is derived by performing nonlinear finite element micromechanical analyses considering a typical repetitive unit cell made of a circular hole in a dense SMA matrix and prescribing suitable periodicity and continuity conditions. …”
Get full text

Symmetry Reductions, Exact Solutions, and Conservation Laws of a Modified Hunter-Saxton Equation by Andrew Gratien Johnpillai, Chaudry Masood Khalique

“…These subalgebras are then used to reduce the underlying equation to nonlinear third-order ordinary differential equations. …”
Get full text